Asymptotic Dirichlet problem for a complex Monge-Ampère operator (Q1102016)

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scientific article; zbMATH DE number 4048721
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Asymptotic Dirichlet problem for a complex Monge-Ampère operator
scientific article; zbMATH DE number 4048721

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    Asymptotic Dirichlet problem for a complex Monge-Ampère operator (English)
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    1986
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    For a simply connected complete Kähler manifold with sectional curvature K, \(-\alpha^ 2\leq K\leq -1\) an existence result for the Dirichlet problem at infinity posed for the complex Monge-Ampère- operator is proved (under some further growth-restrictions for the right- hand side of the equation).
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    Kähler manifold
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    Dirichlet problem at infinity
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    complex Monge-Ampère- operator
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